eprintid: 79593
rev_number: 10
eprint_status: archive
userid: 12460
dir: disk0/00/07/95/93
datestamp: 2026-10-29 06:38:39
lastmod: 2026-10-29 06:38:39
status_changed: 2026-10-29 06:38:39
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Muhamad Riananda Fadhilah, NIM.: 22104040060
title: PRESERVASI STRUKTUR SEMI-ANALITIK DI BAWAH OPERATOR INTEGRAL BERPARAMETER
ispublished: pub
subjects: 560
divisions: pr_pendidikan_matematika_s1
full_text_status: restricted
keywords: Operator Integral Berparameter, Fungsi Semi-Analitik, Kernel, Integral Lebesgue, Analitisitas, Preservasi Struktur
note: Burhanuddin Latif, M.Si.
abstract: This study investigates the preservation of semi-analytic structure under parameterized integral operators. The study aims to analyze the relationship between kernel regularity and transformed-function properties, the measurability and integrability of transformed functions, and sufficient conditions that guarantee the preservation of semi-analytic structure. This pure mathematical study employs a literature-based and deductive approach grounded in measure theory, Lebesgue integration, function regularity, and semi-analytic function theory. The results show that the measurability of the kernel and input function, together with appropriate integrability conditions, ensures that the transformed function is measurable and integrable. Furthermore, kernel regularity with respect to output variables and parameters, together with suitable domination conditions on its derivatives, guarantees the continuity, differentiability, and real analyticity of the transformed function. In particular, the estimate
∣
date: 2026-08-19
date_type: published
pages: 200
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS ILMU TARBIYAH DAN KEGURUAN
thesis_type: skripsi
thesis_name: other
citation:   Muhamad Riananda Fadhilah, NIM.: 22104040060  (2026) PRESERVASI STRUKTUR SEMI-ANALITIK DI BAWAH OPERATOR INTEGRAL BERPARAMETER.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/79593/1/22104040060_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/79593/2/22104040060_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf